Igor Frenkel
Igor Borissowitsch Frenkel (born April 22, 1952 in Leningrad ) is a Russian-born American mathematician who deals with infinite-dimensional Lie algebras and representation theory.
Frenkel moved to the USA in 1979, where he received his doctorate in 1980 with Howard Garland at Yale with the dissertation Orbital Theory for Affine Lie Algebras . After teaching at Rutgers University , among others , he is currently a professor at Yale. In 1984 he received a research grant from the Alfred P. Sloan Foundation ( Sloan Research Fellowship ).
Together with James Lepowsky and Arne Meurman, Frenkel constructed the monster-vertex operator algebra , which provides a representation of the simple finite group called “ monsters ”. With their help Richard Borcherds succeeded in proving the “ moonlight ” properties of the monster group. With Garland and Gregg Zuckerman in 1986 he found a connection with the cohomology of graded Lie algebras according to Feigin and the BRST quantization of strings.
In 1986 he was invited speaker at the International Congress of Mathematicians in Berkeley ( Beyond affine Lie algebras ). In 2015 he was elected to the American Academy of Arts and Sciences and in 2018 to the National Academy of Sciences .
His doctoral students include Mikhail Khovanov and Pavel Etingof .
literature
- Igor Frenkel, James Lepowsky , Arne Meurman : Vertex Operator Algebras and the Monster (= Pure and Applied Mathematics. 134). Academic Press, Boston MA et al. 1988, ISBN 0-12-267065-5 .
Web links
- Homepage in Yale
- Igor Frenkel in the Mathematics Genealogy Project (English)
| personal data | |
|---|---|
| SURNAME | Frenkel, Igor |
| ALTERNATIVE NAMES | Frenkel, Igor Borissowitsch (full name) |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | April 22, 1952 |
| PLACE OF BIRTH | Leningrad |